Two-Fluid Model Stability, Simulation and Chaos /
This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception more than forty years ago. The difficulty is for...
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Main Authors: | |
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Published: |
Springer International Publishing : Imprint: Springer,
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Publisher Address: | Cham : |
Publication Dates: | 2017. |
Literature type: | eBook |
Language: | English |
Subjects: | |
Online Access: |
http://dx.doi.org/10.1007/978-3-319-44968-5 |
Summary: |
This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception more than forty years ago. The difficulty is formidable because it involves the combined challenges of two-phase topological structure and turbulence, both nonlinear phenomena. The one dimensional approach permits the separation of the former from the latter. The authors first analyze the kinematic and Kelvin-Helmholtz instabilities with the simplified one-dimensional Fixed-Flux Model (FFM). They then analyze the density wave instability with the well-known Drift-Flux Model. They demonstrate that the Fixed-Flux and Drift-Flux assumptions are two complementary TFM simplifications that address two-phase local and global linear instabilities separately. Furthermore, they demonstrate with a well-posed FFM and a DFM two cases of nonlinear two-phase behavior that are chaotic and Lyapunov stable. On the practical side, they also assess the regularization of an ill-posed one-dimensional TFM industrial code. Furthermore, the one-dimensional stability analyses are applied to obtain well-posed CFD TFMs that are either stable (RANS) or Lyapunov stable (URANS), with the focus on numerical convergence. |
Carrier Form: | 1 online resource(xx,358pages): illustrations |
ISBN: | 9783319449685 |
Index Number: | TK9001 |
CLC: | TB126 |
Contents: | Introduction -- Fixed-Flux Model -- Two-Fluid Model -- Fixed-Flux Model Chaos -- Fixed-Flux Model -- Drift-Flux Model -- Drift-Flux Model Non-Linear Dynamics and Chaos -- RELAP5 Two-Fluid Model -- Two-Fluid Model CFD. |